Final answer:
An example of a function with the domain [2, ∞) is the linear function y = x - 2, starting at the point (2, 0) and continuing indefinitely to the right.
Step-by-step explanation:
To write an equation of a function with the domain [2, ∞), we need a function that is defined for all real numbers greater than or equal to 2. One of the simplest functions we can use is a linear function, which is represented by y = mx + b, where m is the slope and b is the y-intercept.
Let's choose a slope of 1 and a y-intercept of -2 for this example. The linear function is then y = x - 2. This function has a domain of all real numbers (since any real number can be plugged into the function), but we restrict the domain to [2, ∞) by specifying that x cannot be less than 2. Therefore, the graph of this function will start at the point (2, 0) and continue indefinitely to the right, corresponding to the domain we want.